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Finding the Fourth Proportional to 9,786.82, 13,508.23 and 6,010.90

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Solution

The fourth proportional to 9,786.82, 13,508.23 and 6,010.90 is: 8,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.82 : 13,508.23 = 6,010.90 : x
  2. Step 2: Convert to fraction form
    9,786.82/13,508.23 = 6,010.90/x
  3. Step 3: Cross multiply
    9,786.82x = 13,508.23 × 6,010.90
  4. Step 4: Simplify right side
    9,786.82x = 81,196,619.71
  5. Step 5: Solve for x
    x = 81,196,619.71/9,786.82
  6. Step 6: Final answer
    x = 8,296.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.